CBSE Class 10 - Maths - Number Systems - Problems and Solutions (#cbsenotes)

Number Systems

Problems and Solutions

(CBSE Class 10)

Q1: Find HCF and LCM of 126 and 156 using prime factorization method.

Answer: HCF of 126 is:

           126
           ╱╲
          2  63
             ╱╲
            3 21
              ╱╲
             3  7

∴ 126 = 2 × 3 × 3 × 7 = 2 × 3² × 7

    HCF of 156 is:

           156
           ╱╲
          2 78
            ╱╲
           2 39
             ╱╲
            3 13

∴ 156 = 2 × 2 × 3 × 13 = 2² × 3 × 13  

∴ HCF (126, 156) = product of common factors with lowest power

= (2ⁱ × 3ⁱ) = 6

CBSE Class 6 Maths - Playing With Numbers - NCERT Exercise 3.1 (#ncertSolutions)

Playing With Numbers
NCERT Exercise 3.1

CBSE Class 6 Maths 

Q1. Write all the factors of the following numbers :
(a) 24
(b) 15
(c) 21
(d) 27
(e) 12
(f) 20
(g) 18
(h) 23
(i) 36

Answer:
(a) 24 = 1 × 24
= 2 × 12
= 3 × 8
= 4 × 6
= 6 × 4
∴ Factors of 24 = 1, 2, 3, 4, 6, 12, 24

(b) 15 = 1 × 15
= 3 × 5
= 5 × 3
∴ Factors of 15 = 1, 3, 5, 15

(c) 21 = 1 × 21
= 3 × 7
= 7 × 3
∴ Factors of 21 = 1, 3, 7, 21

(d) 27 = 1 × 27
= 3 × 9
= 9 × 3
∴ Factors of 27 = 1, 3, 9, 27

Career After 12 - Paramedic Courses (Pharmacy and Medical Lab Technicians) (#careerAfter12)

Career After 12 - Paramedic Courses (Pharmacy and Medical Lab Technicians)

A pharmacist not only delivers drugs or medicines as per the prescription given by a doctor but also deals in production of drugs, development methods and quality control.

As a medical laboratory technician, one works in various fields of specialization such as

•   Radiography (imaging techniques like X-ray, MRI, CT, Ultrasound, etc.)
•   Radiotherapy (radiation treatment)
•   Anaesthesia Technology
•   Medical Record Technology
•   Electrophysiology and Pulmonary Technology
•   Dialysis Technology
•   Diabetic Education and Podiatry Technology

Delhi Institutes Offering Pharmacy Courses:

① Bachelor in Pharmacy (B.Pharma)
  Institute:    Delhi Institute of Pharmaceutical Sciences & Research (DU)
  Eligibility:  10 + 2 with PCB 60%
  Duration:     4 yrs
  Mode of Entry:  On Merit
  Website:      www.dipsar.ac.in

② Diploma in Pharmacy (B.Pharma)
  Institute:    Delhi Institute of Pharmaceutical Sciences & Research (DU)
  Eligibility:  10 + 2 with PCB 60%
  Duration:     2 yrs
  Mode of Entry:  On Merit
  Website:      www.dipsar.ac.in

③ Diploma in Pharmacy (B.Pharma)
  Institute:    Directorate of Training & Technical Education (Polytechnics)
  Eligibility:  10 + 2 with PCB 45% and English
  Duration:     2 yrs
  Mode of Entry:  Entrance Test
  Website:      www.cetdelhi.nic.in  & www.cetdelhiexam.nic.in

CBSE Class 10 - Biology - Life Processes (Nutrition) - Q and A (#cbsenotes)

Life Processes (Nutrition)  

Q and A

CBSE Class 10 - Biology 

Q1: Define nutrition.

Answer: The process of taking in food or consuming food and utilising it is called nutrition.


Q2: What are the modes of nutrition?

Answer:
① Autotrophic
② Heterotrophic


Q3: What is a nutrient?

Answer: A nutrient is a substance in food that performs a physiological function in the body. A nutrient gives energy and promotes growth and development of the body.


Q4: What happens if there is a deficiency of a particular type of nutrient? Give an example.

Answer: There may be a deficiency disorder. e.g. deficiency of Vitamin C causes capillaries break easily and often leads to bleeding of gums.


Q5: Name the different classes of nutrients.

Answer: Carbohydrates, Lipids, Proteins, Minerals, Vitamins and Water.

CBSE Class 6 Maths - Ch2 Whole Numbers - NCERT Ex 2.3 (#cbsenotes)(#ncertanswers)

Whole Numbers

Chapter 2: Whole Numbers  

NCERT Exercise 2.3 

CBSE Class 6 Maths - Chapter 2

Q1: Which of the following will not represent zero:

(a) 1 + 0
(b) 0 ✕ 0
(c)

	0
	2

(d)

	10 - 10
	2

Answer:
(a) [∵ 1 + 0 = 1]


Q2: If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.

Career After 12th - Delhi Institutes Offering Courses In Paramedics (Physiotherapy and Other Therapy Courses) (#careerAfter12)

Delhi Institutes Offering Courses In Paramedics
(Physiotherapy, Speech Therapy,
Occupational Therapy,
Prosthetics & Orthotics)

Career After 12th

Various therapeutic courses are available at degree or diploma level. Broadly following categories of therapeutic courses paramedical courses are available:

• Physiotherapy
• Occupational therapy
• Prosthetics and Orthotics
• Optometry
• Audiology and Speech therapy

CBSE Class 6 Maths - Ch2 Whole Numbers - NCERT Ex 2.2 (#cbsenotes)(#ncertSolutions)

Whole Numbers - NCERT Ex 2.2

CBSE Class 6

Q1. Find the sum by suitable rearrangement:
(a) 837 + 208 + 363
(b) 1962 + 453 + 1538 + 647

Answer:
(a) 837 + 208 + 363
= (837 + 363) + 208
= 1200 + 208
= 1408

(b) 1962 + 453 + 1538 + 647
= (1962 + 1538) + (453 + 647)
= 3500 + 1100
= 4600


Q2. Find the product by suitable rearrangement:
(a) 2 × 1768 × 50 
(b) 4 × 166 × 25 
(c) 8 × 291 × 125
(d) 625 × 279 × 16 
(e) 285 × 5 × 60 
(f) 125 × 40 × 8 × 25

CBSE Class 9 - Maths - Chapter 2 - Polynomials (Important Points) (#cbsenotes)

Polynomials

(Important Points)

CBSE Class 9 - Maths Chapter 2

① A combination of constants and variables which are connected by basic mathematical operations, is known as Algebraic Expression. For e.g. x² – 7x + 2, xy² – 3 etc.

② A Polynomials p(x) in one variable x is an algebric expression in x of the form
p(x) = a_nxⁿ + a_n–1x^n–1 + ... + a₁ x + a₀ , where a₀ , a₁ , a₂ ..... a_n are constant and a n ≠ 0 are called coefficients and n is a positive integer.

③ The highest power of variable x in a polynomial p(x) is called the degree of the polynomial.

④ A polynomial of degree 1 is called a linear polynomial. For e.g. 4x + 9 is a linear polynomial in x.

Career After 12: Career in Paramedical Courses (#CareerAfter12)

Career in Paramedical Courses

Career After 12th

Paramedic professionals help the doctors in specialised areas for better diagnosis, treatment and therapy. In medical related industry, there is ever growing demand for skilled para-medical professionals in India and abroad.

For +2 senior secondary students pursuing in a biology major, apart from MBBS courses, they can opt for various medical related professional courses like pharmacy, physiotherapy, nursing, medical laboratory technology, radiology, optometrist, speech therapist, etc. Various para-medical courses are available at degree, certificate and diploma level.

CBSE Class 6 Maths - Ch2 Whole Numbers - NCERT Ex 2.1 (#cbsenotes)(#ncertanswers)

Chapter 2: Whole Numbers  

NCERT Ex 2.1 

CBSE Class 6 Maths 

Q1: Write the next three natural numbers after 10999.

Answer:
10,999 + 1 = 11,000
11,000 + 1 = 11,001
11,001 + 1 = 11,002


Q2: Write the three whole numbers occurring just before 10001.

Answer:
10,001 – 1 = 10,000
10,000 – 1 = 9,999
9,999  – 1 = 9,998


Q3: Which is the smallest whole number?

Answer: ‘0’ (zero) is the smallest whole number.